1. Given the following function: Pr{ X = x) = g for the values x = O, 1, 2, 3, 4, or 5. (a) Show the probability distribution in table form. (b) Cakulate E(x) to 1 decimal place. (c) Why is this a proper probability distribution? 2. Answer the following about the 17* row (11 = 17) of Pascale Triangle: (a) How many numbers are in the 17m row? (b) What is the sum of the 1'?111 row? (b) List the first 5 numbers of the 17\"" row ( n = 17} from left to right. Give the numbers not just n_Cr. (c) Using properties of the Pascal's Triangle give an equivalent single combination in the form (n r ) or nCr.| (1] (1'7 4) (ii) (17 9 ) + (17 10) BONUS (1313)+[1413)+(1513)+[1613)